document.write( "Question 925773: Find all solutions to the equation below on the interval [0, 2π). Enter them from smallest to largest; enter DNE in any empty blank.\r
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document.write( "cos (2x) + cos (x) = 2\r
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document.write( "x =
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document.write( "x = \r
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document.write( "Thank you \n" );
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Algebra.Com's Answer #561787 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Find all solutions to the equation below on the interval [0, 2π). Enter them from smallest to largest; enter DNE in any empty blank. \n" ); document.write( "cos (2x) + cos (x) = 2 \n" ); document.write( "*** \n" ); document.write( "2cos^2(x)-1+cosx=2 \n" ); document.write( "2cos^2(x)+cosx-3=0 \n" ); document.write( "(2cosx+3)(cosx-1)=0 \n" ); document.write( "2cosx+3=0 \n" ); document.write( "cosx=-3/2 (reject,1 ≤ cosx ≤ 1) \n" ); document.write( ".. \n" ); document.write( "cosx-1=0 \n" ); document.write( "cosx=1 \n" ); document.write( "x=0 \n" ); document.write( " \n" ); document.write( " |